100412441040 has 40 divisors (see below), whose sum is σ = 311278567968. Its totient is φ = 26776650880.

The previous prime is 100412441033. The next prime is 100412441047. The reversal of 100412441040 is 40144214001.

It is an interprime number because it is at equal distance from previous prime (100412441033) and next prime (100412441047).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100412441040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100412440998 and 100412441016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100412441047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209192346 + ... + 209192825.

Almost surely, 2^100412441040 is an apocalyptic number.

100412441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100412441040 is an abundant number, since it is smaller than the sum of its proper divisors (210866126928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100412441040 is a wasteful number, since it uses less digits than its factorization.

100412441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418385187 (or 418385181 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 100412441040 its reverse (40144214001), we get a palindrome (140556655041).

The spelling of 100412441040 in words is "one hundred billion, four hundred twelve million, four hundred forty-one thousand, forty".